Certificate for #1600 ⟨a, b, c | aab=aa, bbc=1⟩

Back:⟨a, b, c | aab=aa, bbc=1⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3].

[2] bbc=1

Axiom: bbc=1.

Defines rule #3.

Referenced by [3].

[3] aac=aa

Overlap of [1] aab=aa with [2] bbc=1:

aa b bbc

Critical pair: aa=aabc.

Reduce RHS:

[1](aab)c
⇒ aac

Flip LHS and RHS.

Defines rule #2.